Q: What are the factor combinations of the number 20,171,945?

 A:
Positive:   1 x 201719455 x 403438917 x 118658543 x 46911585 x 237317215 x 93823731 x 275953655 x 5519
Negative: -1 x -20171945-5 x -4034389-17 x -1186585-43 x -469115-85 x -237317-215 x -93823-731 x -27595-3655 x -5519


How do I find the factor combinations of the number 20,171,945?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 20,171,945, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 20,171,945
-1 -20,171,945

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 20,171,945.

Example:
1 x 20,171,945 = 20,171,945
and
-1 x -20,171,945 = 20,171,945
Notice both answers equal 20,171,945

With that explanation out of the way, let's continue. Next, we take the number 20,171,945 and divide it by 2:

20,171,945 ÷ 2 = 10,085,972.5

If the quotient is a whole number, then 2 and 10,085,972.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 20,171,945
-1 -20,171,945

Now, we try dividing 20,171,945 by 3:

20,171,945 ÷ 3 = 6,723,981.6667

If the quotient is a whole number, then 3 and 6,723,981.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 20,171,945
-1 -20,171,945

Let's try dividing by 4:

20,171,945 ÷ 4 = 5,042,986.25

If the quotient is a whole number, then 4 and 5,042,986.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 20,171,945
-1 20,171,945
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

151743852157313,6555,51927,59593,823237,317469,1151,186,5854,034,38920,171,945
-1-5-17-43-85-215-731-3,655-5,519-27,595-93,823-237,317-469,115-1,186,585-4,034,389-20,171,945

More Examples

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